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Privacy-preserving state estimation for linear time-invariant dynamical systems with crowd sensors is considered. At any time step, the estimator has access to measurements from a randomly selected sensor from a pool of sensors with…

Cryptography and Security · Computer Science 2026-05-21 Farhad Farokhi

During initial iterations of training in most Reinforcement Learning (RL) algorithms, agents perform a significant number of random exploratory steps. In the real world, this can limit the practicality of these algorithms as it can lead to…

Machine Learning · Computer Science 2022-10-17 Ashish Kumar Jayant , Shalabh Bhatnagar

Inverter-interfaced microgrids, owing to the lack of fault current, cannot be protected using traditional over-current protections, while admittance or differential relaying protection schemes are not practical to be implemented. Dynamic…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Sarbajit Basu , Arthur K. Barnes , Adam Mate , Olga Lavrova

This paper studies the problem of secure state estimation of a linear time-invariant (LTI) system with bounded noise in the presence of sparse attacks on an unknown, time-varying set of sensors. In other words, at each time, the attacker…

Systems and Control · Electrical Eng. & Systems 2023-07-24 Zishuo Li , Muhammad Umar B. Niazi , Changxin Liu , Yilin Mo , Karl H. Johansson

In this paper, a constrained attack-resilient estimation algorithm (CARE) is developed for stochastic cyber-physical systems. The proposed CARE can simultaneously estimate the compromised system states and attack signals. It has improved…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Wenbin Wan , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

Optimization and Control · Mathematics 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

Fluid Dynamics · Physics 2020-06-10 Nirmal J. Nair , Andres Goza

This paper proposes a differentially private recursive least squares algorithm to estimate the parameter of autoregressive systems with exogenous inputs and multi-participants (MP-ARX systems) and protect each participant's sensitive…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Jianwei Tan , Jimin Wang , Ji-Feng Zhang

In this paper, the Cram\'{e}r-Rao Bounds (CRB) for the simultaneous estimation of power system electromechanical modes and forced oscillations (FO) are derived. Two cases are considered; in the first case only the steady-state response to…

Signal Processing · Electrical Eng. & Systems 2025-11-21 Luke Dosiek

In this work, we study the design of receivers for uplink multi-user systems, aiming to estimate both the channel and the transmitted symbols. We consider two estimation strategies: (i) a joint estimation approach, where the channel and…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Xue Zhang , Abla Kammoun , Mohamed-Slim Alouini

We study conditional risk minimization (CRM), i.e. the problem of learning a hypothesis of minimal risk for prediction at the next step of sequentially arriving dependent data. Despite it being a fundamental problem, successful learning in…

Machine Learning · Statistics 2018-11-06 Alexander Zimin , Christoph Lampert

In practical nonlinear filtering, the assessment of achievable filtering performance is important. In this paper, we focus on the problem of efficiently approximate the posterior Cramer-Rao lower bound (CRLB) in a recursive manner. By using…

Applications · Statistics 2010-05-31 Ming Lei , Pierre Del Moral , Christophe Baehr

In this manuscript, distance and position estimation problems are investigated for visible light positioning (VLP) systems with red-green-blue (RGB) light emitting diodes (LEDs). The accuracy limits on distance and position estimation are…

Information Theory · Computer Science 2021-06-02 Ilker Demirel , Sinan Gezici

We consider the problem of robust state estimation in the presence of integrity attacks. There are $m$ sensors monitoring a dynamical process. Subject to the integrity attacks, $p$ out of $m$ measurements can be arbitrarily manipulated. The…

Information Theory · Computer Science 2016-01-19 Duo Han , Yilin Mo , Lihua Xie

This paper deals with the state estimation problem in discrete-event systems modeled with nondeterministic finite automata, partially observed via a sensor measuring unit whose measurements (reported observations) may be vitiated by a…

Information Theory · Computer Science 2020-11-04 Yuting Li , Christoforos N. Hadjicostis , Naiqi Wu , Zhiwu Li

This work presents a geometric refinement of the classical Cram\'er--Rao bound (CRB) in the non-asymptotic regime by incorporating curvature-aware corrections based on the second fundamental form associated with the statistical model…

Statistics Theory · Mathematics 2026-03-11 Sunder Ram Krishnan

Bilevel optimization, in which one optimization problem is nested inside another, underlies many machine learning applications with a hierarchical structure -- such as meta-learning and hyperparameter optimization. Such applications often…

Machine Learning · Computer Science 2025-11-10 Andrew Lowy , Daogao Liu

Safe Reinforcement Learning (RL) often faces significant issues such as constraint violations and instability, necessitating the use of constrained policy optimization, which seeks optimal policies while ensuring adherence to specific…

Machine Learning · Computer Science 2025-08-07 Ning Yang , Pengyu Wang , Guoqing Liu , Haifeng Zhang , Pin Lv , Jun Wang

This paper presents a differentially private approach to Kaplan-Meier estimation that achieves accurate survival probability estimates while safeguarding individual privacy. The Kaplan-Meier estimator is widely used in survival analysis to…

Cryptography and Security · Computer Science 2024-12-09 Narasimha Raghavan Veeraragavan , Sai Praneeth Karimireddy , Jan Franz Nygård

In this paper, we present a novel optimization algorithm designed specifically for estimating state-space models to deal with heavy-tailed measurement noise and constraints. Our algorithm addresses two significant limitations found in…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Yifan Yu , Shengjie Xiu , Daniel P. Palomar